Permutations and Combinations questions
785 published questions with worked solutions.
- Statement 1: (n+2)! (n-1)! is divisible by 6 Statement 2: Product of 3 consecutive integers is divisible by 3!
- (n+2)! (n-1)! is divisible by
- The number of seven-digit numbers, that can be formed by using the digits 1, 2, 3, 5 and 7 such that each digit is used at least...
- The number of ways of forming a queue of 4 boys and 3 girls such that all the girls are not together, is:
- Let A = (a,b,c) : a,b,c are non-negative integers and a+b+2c=22 . Then n(A) is equal to:
- A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each...
- Two players A and B play a series of games of badminton. The player, who wins 5 games first, wins the series. Assuming that no...
- A building has ground floor and 10 more floors. Nine persons enter a lift at the ground floor. The lift goes up to the 10th...
- The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from...
- A person has three different bags and four different books. The number of ways, in which he can put these books in the bags so...
- The number of integers, between 100 and 1000 having the sum of their digits equals to 14, is ______.
- Let = (4!)! (4!)^ 3! and = (5!)! (5!)^ 4! . Then:
- ^ n-1 C_r = (k^2 - 8) , ^nC_ r+1 if and only if :
- All the letters of the word "GTWENTY" are written in all possible ways with or without meaning and these words are written as in...
- In an examination of Mathematics paper, there are 20 questions of equal marks and the questions paper is divided into three...
- The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2...
- The total number of words (with or without meaning) that can be formed out of the letters of the word 'DISTRIBUTION' taken four...
- Let P_1, P_2, ….., P_ 15 be 15 points on a circle. The number of distinct triangles formed by points P_i, P_j, P_k such that i +...
- All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two R appearing...
- Consider a rectangle ABCD having 5, 7, 6, 9 points on the line segments AB, CD, BC, DA respectively. Let be the number of...
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